1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nirvana33 [79]
3 years ago
13

Simplify completely quantity x squared plus 4 x minus 45 all over x squared plus 10 x plus 9 and find the restrictions on the va

riable.
A) quantity x minus 5 over quantity x plus 1, x ≠ −1, x ≠ −9
B) quantity x minus 5 over quantity x plus 1, x ≠ −1, x ≠ 5
C) quantity x plus 5 over quantity x plus 1, x ≠ −1, x ≠ −9
D) quantity x plus 5 over x plus 1, x ≠ −1, x ≠ 5
Mathematics
2 answers:
Brums [2.3K]3 years ago
7 0

Answer:

A) Quantity x minus 5 over quantity x plus 1, where x≠-1 and x≠-9

Step-by-step explanation:

\frac{x^2 + 4x - 45}{x^2 + 10x + 9}

Simplifying the numerator first:

x² + 4x - 45 using the quadratic formula you get;

(x - 5)(x + 9)

Then simplifying the denominator x² + 10x + 9 using a quadratic formula you get;

(x + 1)(x + 9)

Dividing the numerator and denominator now gives;

\frac{(x - 5)(x + 9)}{(x + 1)(x + 9)}

Cancelling (x + 9) throughout leaves you with;

\frac{x - 5}{x + 1}

The only restrictions here is if x = 1 and 9 which will give an undefined answer.

guajiro [1.7K]3 years ago
5 0

Answer:

Step-by-step explanation:

) Quantity x minus 5 over quantity x plus 1, where x≠-1 and x≠-9

You might be interested in
Simplify (4x^– 4)^– 3
jarptica [38.1K]

Answer:

1/64x^12

Step-by-step explanation:

3 0
2 years ago
HELLPPPPP PLS INCLUDE EXPLANATION ON HOW TO DO IT SO I CAN DO IT ON MY OWN!!!!
ale4655 [162]

Answer: 0.000021 in scientific notation is

2.1 × 10-5

Step-by-step explanation:

All numbers in scientific notation or standard form are written in the form

m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.

To convert 0.000021 into scientific notation, follow these steps:

Move the decimal 5 times to right in the number so that the resulting number, m = 2.1, is greater than or equal to 1 but less than 10

Since we moved the decimal to the right the exponent n is negative

n = -5

Write in the scientific notation form m × 10n

= 2.1 × 10-5

Therefore,

2.1 × 10-5 is the scientific notation form of 0.000021 number and 2.1e-5 is the scientific e-notation form for 0.000021

** Hope this helps you! Good Luck!

3 0
3 years ago
What is the difference? 2x 7 - 8x 7<br> a. -6x 14<br> b. 10x 7<br> c. -16x 7<br> d. -6x 7
spayn [35]
2x^{7}-8x^{7}=-6x^{7}
5 0
3 years ago
Which expression is equivalent to 3 ( x + 10)
devlian [24]

Answer:

3x + 30

Step-by-step explanation:

3(x+10)\\\\\text{Distribute '3' into 'x + 10'}\\\\\\3(x+10)\rightarrow3x+30\\\\\left \{ {{3*x=3x} \atop {3*10=30}} \right.

3x + 30 would be an equivalent expression.

Hope this helps.

8 0
2 years ago
Marcus ate half of a pizza on Monday night. He then ate one third of the remaining pizza on Tuesday. Which of the following expr
Strike441 [17]

<em><u>Option E</u></em>

<em><u>The expression show how much pizza Marcus ate in total is:</u></em>

Total = \frac{1}{2} + \frac{1}{3} \times \frac{1}{2}

<em><u>Solution:</u></em>

Given that,

Marcus ate half of a pizza on Monday night

He then ate one third of the remaining pizza on Tuesday

Therefore,

Monday\ night = \frac{1}{2}\\

Remaining is given as:

Remaining = 1 - \frac{1}{2} = \frac{1}{2}

He then ate one third of the remaining pizza on Tuesday

Therefore,

Tuesday = \frac{1}{3} \times \frac{1}{2}

<em><u>Thus expressions show how much pizza Marcus ate in total is:</u></em>

Total = monday night + tuesday

Total = \frac{1}{2} + \frac{1}{3} \times \frac{1}{2}

Thus Option E is correct

3 0
3 years ago
Other questions:
  • I'm so stuck on this question please help me
    8·2 answers
  • Alexander is a stockbroker. He earns 14% commission each week. Last week, he sold $6,400 worth of stocks. How much did he make l
    9·1 answer
  • |2c+8| = |10c| ....does anyone know how to do this??
    11·1 answer
  • What is the value of the exponential expression five to the sixth power
    12·2 answers
  • Evaluate m^2+mtp if m=3 , t=4, and p=7
    11·2 answers
  • Which triangle is congruent to PQR?
    9·1 answer
  • Can u help me answer this? A tree is 8.5 feet tall. It grows 0.75 feet each year.
    13·1 answer
  • I need to do this no silly answers tho I’ll mark ❗️Brainlyist❗️ if answered correctly!!!
    5·2 answers
  • I'll give brainliest to whoever answers the question correctly!!!!
    12·1 answer
  • What is the area of this figure?<br><br> Enter your answer in the box.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!